Which of these graphs shows a function with a minimum value of 3?

Probability helps us to know the chances of an event occurring. The probability distribution of a girl child being born can be drawn as given below.

The probability helps us to know the chances of an event occurring.

\(\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)

As it is given to us that the possible genders of the children,

S = {BB, BG, GB, GG},

And we know that the probability of a girl child can be found using the formula of probability, now, finding the probability of the girl child,

A.) The probability that there is no girl child born,

\(\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\\)

\(\rm P(X=0)=\dfrac{\text{Outcomes in which no girl child is born}}{\text{All the possible values}}\)

\(\rm P(X=0)=\dfrac{1}{4} = 0.25\)

B.) The probability that there is one girl child is born,

\(\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\\)

\(\rm P(X=1)=\dfrac{\text{Outcomes in which one girl child is born}}{\text{All the possible values}}\)

\(\rm P(X=1)=\dfrac{2}{4} = 0.5\)

C.) The probability that there is two girl child is born,

\(\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\\)

\(\rm P(X=2)=\dfrac{\text{Outcomes in which two girl child is born}}{\text{All the possible values}}\)

\(\rm P(X=2)=\dfrac{1}{4} = 0.25\)

The probability distribution of a girl child being born can be drawn as given below.

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Answer:A

Step-by-step explanation:

Answer:  Choice B

MN, NO, OM

Refer to the diagram below

=====================================================

Explanation:

M = 57 and N = 75 are the two given angles.

Angle O is the missing angle of the triangle.

Recall that for any triangle, the three inside angles always add to 180

M+N+O = 180

57+75+O = 180

132+O = 180

O = 180-132

O = 48

Angle O is 48 degrees.

Note: be sure not to mix up the letter 'oh' with the number zero. Unfortunately, they look very similar.

-------------------------

We know the following three angles of this triangle

As a rule, the smallest side is always opposite the smallest angle. The smallest angle is O = 48, and the side opposite that is MN.

Also, the largest side is always opposite the largest angle. The largest angle is N = 75, and the side opposite that is OM

-------------------------

In short, we found that MN is the smallest side and OM is the longest side.

That must mean side NO is placed in the middle of MN and OM

So that's how we get get the answer of MN, NO, OM which is choice B.

Refer to the diagram below.

Answer:

12 ≮  12

False

Step-by-step explanation:

19 − 7 < 12

12 ≮  12 (<--- line through the less than sign)

False

(I'm not 100% sure)

\(\huge\text{Hey there!}\)

\(\mathsf{d - 7 < 12}\\\\\mathsf{\rightarrow 19 - 7 < 12}\\\\\mathsf{\rightarrow 12 < 12}\\\\\large\text{Thus, the left and right should be equivalent to each other.}\\\\\mathsf{12 \nless 12}\\\\\mathsf{12 = 12}\)

\(\huge\text{The correct symbol should be: \boxed{\mathsf{\boxed{=}\ because\ the}}}\\\\\huge\boxed{\mathsf{numbers\ are\ equal\ to\ each\ other.}}\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

I gave steps in the picture how to solve it was much easier to write it out then type it. hope this helps!

A point is considered to be unusual if it lies more than 2 standard deviations away from the mean in either direction. The data point 0.0096 would not be unusual if the standard deviation is sufficiently small since it is located within 2 standard deviations.

For instance, let us assume that the mean and standard deviation are 0 and 0.1, respectively. Then, to calculate the lower and upper bounds of the middle 95% of the distribution (i.e., the range in which we would anticipate 95% of the data points to be located), we use the following formulae:

Lower Bound = Mean - (2 * Standard Deviation)

Upper Bound = Mean + (2 * Standard Deviation)

Putting the values in the formula,

Lower Bound = 0 - (2 * 0.1) = -0.2

Upper Bound = 0 + (2 * 0.1) = 0.2

Therefore, any value that falls within the range (-0.2, 0.2) would not be considered unusual. As a result, the value 0.0096 falls inside the range, which means it would not be considered unusual in this scenario.

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Answer:

c.

Step-by-step explanation:

Answer:

The associative and commutative properties can be applied only to problems with addition. Juan had to change the subtraction to addition by adding the additive inverse.

Step-by-step explanation:

Yes, there is evidence to support the claim that there is a difference in the mean performance of the two methods. To test this, we can perform a two-sample t-test. The p-value for the test is 0.034. This means that there is a 3.4% chance of obtaining this difference in performance if the two methods are actually the same. Since this is lower than the significance level of 0.05, we can reject the null hypothesis and conclude that there is a significant difference in the mean performance of the two methods.

To construct a 95% confidence interval for the difference in mean ratio of predicted to observed load, we can use the following formula:

95% confidence interval for the difference in mean ratio of predicted to observed load = (mean Lehigh Method - mean Karlsruhe Method) ± (t-score * standard error)

Where t-score is the critical value of t from the t-table with (degrees of freedom = n1 + n2 - 2) and confidence level 95%, and standard error is the standard error of the difference in sample means.

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Answer:

the answer is figure A and C

Answer:

you add the numbers up and if they are a multiple of 3 it can be divided by 3

Step-by-step explanation:

123

1 + 2 + 3 = 6

6 is a multiple

455

4 + 5 + 5 = 14

14 is not a multiple

Step-by-step explanation:

A number, if the sum of its digits is

divisible by 3, is divisible by 3. For example, 375, since the sum of its digits

(3+7+5) is 15, is divisible by 3. And fifteen

is divisible by 3. Divisible by 3 is 1+2=3 and 3.

Answer:

1 90 clockwise rotation 2 90 counterclockwise rotation

Step-by-step explanation:

Transformation is a method required to resize or change the orientation of a given shape or figure. The required answer is:

i. Statements b and d would map Shape l onto Shape II

​ii. Statements a, c, e, and f does not map Shape l onto Shape II​

Transformation is a method required to resize or change the orientation of a given shape or figure. The types of transformation are translation, reflection, rotation, and dilation. The translation is a method that requires moving every point in a given shape in the same direction and same unit.

Reflection is a method that involves flipping a given figure about a given reference point or line. Rotation is a method that required turning a given figure at an angle about a reference point. Dilation is a method in which the length of the sides of the figure is either increased or decreased. Thus the answers to the question are listed as follows:

a. a reflection across the y-axis, followed by a 90° clockwise rotation about the origin, and then a translation left 6 units. Does not Map Shape l onto Shape II

​

b. a 90° clockwise rotation about the origin and then a translation left 6 units Answer: Maps Shape l onto Shape II

​c. a 90° counterclockwise rotation about the origin, followed by a reflection across the y-axis, and then a translation left 6 units.

d. Does not Map Shape l onto Shape II​d. a 90° clockwise rotation about the origin, followed by a reflection across the y-axis, and then a translation right 4 units Answer: Maps Shape l onto Shape II

​e. a 180° rotation about the origin, followed by a reflection across the y-axis, and then a 90° clockwise rotation about the answer of the origin: Does not Map Shape l onto Shape II​

f. a reflection across the y-axis, followed by a 90° counterclockwise rotation about the origin, and then a translation right 4 units. Does not Map Shape l onto Shape II​.

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Answer:

Step-by-step explanation:

by answer i'm guessing that you mean,  solve for "b"  correct? or another way to say this, is that we want to isolate b.  get by itself on one side of the equation,  either side is fine,  it's not important which side, but it just needs to be alone.  :)

-1.4b + 10 = -18

since you're asking about algebra , i'll go slow explaining, but just tell me if I sound like i'm "mansplaining"  :0

first , recall to do algebra we need to know the order of operations or P.E.M.D.A.S    or  Parenthesis, Exponents, , Multiplication, Division, Addition, Subtraction.   so,  keep in mind, that we want to use these list of "Order of operations"  in reverse,  that is we start at the bottom and work up on the list.  I think  math teacher always kinda "gloss" over this point.   :/   anyway,  looking for any Subtracting... hmm

subtract 10 from both sides

-1.4b + 10 - 10 = -18 - 10

-1.4b = -28

now lets move up the order of operations to "Multipication and Division"

divide both sides by -1.4

-1.4b / -1/4  =  -28 /-1.4

b = 20

note that the double negative , on both sides cancel out

and , also, I used my calculator to divide 28 by 1.4  to get 20 :P

understand?

The probability of a randomly selected flight from Chicago to Champaign being on time is 0.73 or 73% and the probability that it is snowing in Chicago given that the flight is on time is approximately 32.88%..

To calculate the probability of a randomly selected flight from Chicago to Champaign being on time, we need to use the law of total probability by considering the probability of each weather condition in Chicago and its corresponding probability of the flight being on time.

We can calculate the probability of the flight being on time when it is sunny in Chicago as follows:

0.5 (probability of sunny weather) x 0.8 (probability of on-time flight in sunny weather) = 0.4

Similarly, we can calculate the probability of the flight being on time when it is rainy and snowy in Chicago:

0.1 (probability of rainy weather) x 0.9 (probability of delayed flight in rainy weather) = 0.09

0.4 (probability of snowy weather) x 0.6 (probability of delayed flight in snowy weather) = 0.24

Then, we can sum up the probabilities of on-time flights under all weather conditions:

0.4 + 0.09 + 0.24 = 0.73

The symbolic expression for the probability that it is snowing in Chicago given that the flight is on time is P(Snowing|On time). We can use Bayes' theorem to calculate this probability as follows:

P(Snowing|On time) = P(On time|Snowing) x P(Snowing) / P(On time)

We have already calculated P(On time) to be 0.73. The probability of the flight being on time when it is snowing in Chicago is 0.6, and the probability of snowing weather is 0.4. Thus, we can substitute these values into the formula:

P(Snowing|On time) = 0.6 x 0.4 / 0.73 = 0.3288 or 32.88%.

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The given statement is 1. Always true

2. Always true

3. Always true

4. Sometimes true

5. Never true

Statement 1: A line and a point are always coplanar.

Answer: Always true.

Reason: This statement is always true because a line and a point can always be found on the same plane. In Euclidean geometry, a plane is a flat surface that extends infinitely in all directions, and any two points on the plane can be connected by a straight line. Therefore, a line and a point will always lie on the same plane.

Statement 2: Congruent angles form vertical angles.

Answer: Always true.

Reason: Vertical angles are formed by the intersection of two lines. When two angles are congruent, it means they have the same measure. If two angles have the same measure and are formed by the intersection of two lines, then they are vertical angles. Therefore, congruent angles always form vertical angles.

Statement 3: Linear pairs that are congruent are right angles.

Answer: Always true.

Reason: A linear pair consists of two adjacent angles that share a common side and form a straight line. If the two angles of a linear pair are congruent, it means they have the same measure. In Euclidean geometry, a straight angle measures 180 degrees. If two angles in a linear pair are congruent and their measures add up to 180 degrees, then each angle must measure 90 degrees, which is the measure of a right angle. Therefore, linear pairs that are congruent are always right angles.

Statement 4: The sum of angles that form a linear pair is less than 180 degrees.

Answer: Sometimes true.

Reason: The sum of angles that form a linear pair is always equal to 180 degrees, not less than 180 degrees. This is based on the definition of a linear pair, which states that the two angles in a linear pair are supplementary, meaning their measures add up to 180 degrees. However, if the statement said "less than or equal to 180 degrees," then it would be always true.

Statement 5: Vertical angles are complementary.

Answer: Never true.

Reason: Vertical angles are not complementary. Complementary angles are two angles that add up to 90 degrees. Vertical angles, on the other hand, are a pair of non-adjacent angles formed by the intersection of two lines. They do not necessarily have any specific relationship to each other in terms of their angle measures. Therefore, vertical angles are not complementary by definition.

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The truth of each statement depends on the properties of angles and theorems that support them. A line and a point are always coplanar, congruent angles can sometimes form vertical angles, congruent linear pairs are not always right angles, the sum of angles that form a linear pair is always 180 degrees, and vertical angles are never complementary.

To determine the truth of each statement, we need to consider the properties of angles and theorems that support them.

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The measure of the angle that is complementary to angle B is 30°.

Complementary angles are a pair of angles whose measures add up to 90°(Right angle)

To find the measure of the angle that is complementary to angle B, we need to subtract the measure of angle B from 90 degrees.

Given measure of angle B is 60°

60°+x° = 90°

(Let x° be the complementary angle to ∠B)

x° = 90°-60°

x° = 30°

∴ The measure of the angle that is complementary to angle B is 30°.

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Answer:

The answer is 12/18

Step-by-step explanation:

Lets see if 12/18 is proportional to 2/3.

2 * 6 = 12

3 * 6 = 18

So, 12/18 is the answer.

Hope this helps! :)

Answer:

$389.73 in change

Step-by-step explanation

500-( (18.95 x 3)+(26.71 x 2) )=

500-(56.85+53.42)=

500-110.27=

389.73

Verify the divergence theorem for the given region W, boundary ∂W oriented outward, and vector field F. W = [0, 1] ✕ [0, 1] ✕ [0, 1] F = 2xi + 3yj + 2zk

The divergence theorem is correct and verified by using the formula S = ∫∫(F . n) dS = ∫∫∫(∇ . F) dV where,∇ . F is the divergence of the given vector field.

Divergence theorem: The divergence theorem states that the flux of a vector field through a closed surface is equal to the volume integral of the divergence over the region enclosed by the surface. Here, it is given to verify the divergence theorem for the given region W, boundary ∂W oriented outward, and vector field F, which is given as,W = [0, 1] x [0, 1] x [0, 1]F = 2xi + 3yj + 2zkHere, we need to find the flux of the given vector field through the boundary of the given region W using the divergence theorem. We know that the flux of a vector field F through the closed surface S is given by, Flux of F through S = ∫∫(F . n) dS Where n is the outward pointing unit normal to the surface S.In the divergence theorem, the flux of F through the closed surface S is given by, Flux of F through S = ∫∫(F . n) dS = ∫∫∫(∇ . F) dV where,∇ . F is the divergence of the given vector field F and V is the volume enclosed by the surface S.Now, let us find the divergence of the given vector field F, which is given by,F = 2xi + 3yj + 2zk

∇ . F = ∂(2x)/∂x + ∂(3y)/∂y + ∂(2z)/∂z= 2 + 3 + 2= 7

Therefore, the divergence of the given vector field F is 7.

Now, let us find the volume of the given region W using the triple integral, Volume of W = ∫∫∫dV= ∫[0,1]∫[0,1]∫[0,1]dxdydz= ∫[0,1]∫[0,1]1dx dy= ∫[0,1]dx= 1

Therefore, the volume of the given region W is 1. Now, using the divergence theorem, we can find the flux of the given vector field F through the boundary of the given region W, which is given by, Flux of F through the boundary of W = ∫∫(F . n) dS = ∫∫∫(∇ . F) dV= ∫∫∫ 7 dV= 7 * Volume of W= 7 * 1= 7. Therefore, the flux of the given vector field F through the boundary of the given region W is 7.

Hence verified.

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The cold water faucet will fill the tub on its own in 5.6 minutes.

Let us assume the time taken by cold water faucet to fill the tub be x minutes. Now, the rate of hot water faucet to fill the tub = 1/14

Combined rate of filling by both faucets = 1/4

Rate of filling by hot water faucet + Rate of filling by cold water faucet = Rate of filling of tub by combination of two faucets

1/14 + 1/x = 1/4

1/x = 1/4 - 1/14

1/x = (14 - 4)/(4×14)

1/x = 10/56

x = 56/10

x = 5.6 minutes

Thus, cold water faucet will take 5.6 minutes.

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The complete question is -

Left on together, the cold and hot water faucets of a certain bathtub take 4 minutes to fill the tub. if it takes the hot water faucet 14 minutes to fill the tub by itself, how long will it take the cold water faucet to fill the tub on its own?

The number of minutes after Cayaln puts the trays in the oven will he first remove the scones, muffins, and cookie at the same time is 300 minutes

Find the least common multiple of 25, 12 and 10 minutes

The least common multiple of of 25, 12 and 10 minutes is 300 minutes.

Therefore, the number of minutes Cayal removes the scones, muffins, and cookie at the same time is 300 minutes

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The solution of the equations will be the point of intersection of the two lines

A line is the shortest distance between two points. The equation of a line in standard form is given as Ax + By = C

According to the question, we are to pot the following lines.

4y +3x = 0

4y - x = 16

The solution of the equations will be the point of intersection of the two lines as attached.

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A function, h, has a domain of -3 ≤ x ≤ 11  and a range of  1 ≤ h(x) ≤ 25  ; hence, option C. h(2) = 16 is true.

A function's domain is the variety of values that it is able accept. These integers indicate the x-values of something like a function like f. (x). The range of potential values that can be used with a function is known as its domain. The value that the method returns after inserting the x value belongs to this set. The formula for a function with y as such dependent variable and x as the regression coefficient is y = f. (x). When a single value of y can be successfully produced from a value of x, that parameter is said to be in the domain of the function.

given

Since we are aware that h(8) is 19, not 21, we know that statement A is false.

B is likewise false since h(x) cannot have a value of 1.

Because x cannot be 13, D cannot be true, hence the response is C.

A function, h, has a domain of -3 ≤ x ≤ 11  and a range of  1 ≤ h(x) ≤ 25  ; hence, option C. h(2) = 16 is true.

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We have found all the required values for the given triangle.
b = sin B × 15.4 / sin 35°

c = √(237.16 + b² - 30.8b cos 110°)

B = sin⁻¹[(b)(sin 35°) / 15.4]

The given triangle can be solved by using the trigonometric ratios such as sine, cosine, and tangent. The given triangle is as follows:
Triangle with a = 15.4, A = 35°, and B = b
To solve the triangle, we need to find the remaining two sides b and c and the angle B. Let's first use the sine rule to find b.
sin B / b = sin A / a
sin B / b = sin 35° / 15.4
b = sin B × 15.4 / sin 35°
Now, we can use the cosine rule to find c.
c² = a² + b² - 2ab cos C
c² = (15.4)² + (b)² - 2(15.4)(b) cos 110°
c² = 237.16 + b² - 30.8b cos 110°
c = √(237.16 + b² - 30.8b cos 110°)
Now, to find angle B, we can use the sine rule again.
sinB / b = sin A / a
sin B / b = sin 35° / 15.4
sin B = (b)(sin 35°) / 15.4
B = sin⁻¹[(b)(sin 35°) / 15.4]
In order to solve the given triangle, we have made use of the sine and cosine rules of trigonometry. The sine rule is used to find the unknown sides of a triangle if the values of the angles and one side are known. On the other hand, the cosine rule is used to find the unknown sides and angles of a triangle if the values of two sides and one angle are known.
We have used the sine rule to find the value of side b. Once we have found the value of b, we can use the cosine rule to find the value of side c. After finding the values of all the sides, we can then use the sine rule to find the value of the angle B.
Thus, by making use of the sine and cosine rules, we can solve any given triangle if the values of its sides and angles are known.

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Answer:

Step-by-step explanation:

-12 / 3 x (-8 + (-4)*2 -6) + 2

-12 / 3 x (-8 + 16 -6) + 2

-12 / 3 x (2) + 2

-4 x (2) + 2

-8 + 2

-6

Answer:

\(( - 12 \div 3) \times ( - 8 + {( - 4)}^{2} - 6) + 2 \\ = - 4 \times ( - 8 + 16 - 6) + 2 \\ = - 4 \times 2 + 2 \\ = - 8 + 2 \\ = - 6 \\ thank \: you\)

Answer:

A×B={(1,4)(1,5)(2,4)(2,5)(3,4)(3,5)}

n(A×B)=12

Below is a MATLAB program that evaluates the mathematical expression

% Prompt the user to enter the value of x

x = input('Enter the value of x: ');

% Evaluate the expression A

A = (x^2 - 3*x + 2) / (2*x - 5);

% Display the result

fprintf('The value of A is: %.2f\n', A);

Answer:

C

Step-by-step explanation:

|-80 - 15| = 95

The distance between -80 and 15 is 95

80 to 0 plus 15.

Answer:

(0, 5 )

Step-by-step explanation:

The y- intercept is where the function crosses the y- axis.

This occurs when x = 0 , thus

From the table when x = 0 , f(x) = 5 , thus

y- intercept is (0, 5 )

y- intercept is (0, 5 )

The total capacity of the tank is 272.675 cubic meters.

Given that,

A storage tank consist of a hemisphere and a cylinder which share a common base.

The base of both hemisphere and cylinder will be the same circle with the same radius.

Also, we have,

Height of the tank = 16.5 m

Base diameter of the cylinder = 4.7 m

Radius of the base of the cylinder = 4.7 / 2 = 2.35 m

Radius of the hemisphere = 2.35 m

Height of the cylinder = Total height of the tank - Height or radius of the hemisphere

Total capacity of the tank = Volume of hemisphere + Volume of cylinder

                                          = 2/3 π r³ + π r² h

                                          = 2/3 π (2.35)³ + π (2.35)² (16.5 - 2.35)

                                          = 8.652π + 78.143π

                                          = 272.675 cubic meters

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